Question

James had $240 more than his brother, Sam, at first. After their mother

gave James $30 and Sam $50, James had twice as much money as Sam.

How much money did Sam have at first?


I need help with model without model is fine to!

Answer 1

Answer: Sam had $170 at first

Explanation:

Let's use algebra to solve the problem.

Let J be the amount of money James had at first, and let S be the amount of money Sam had at first. We know from the problem that:

J = S + 240 (James had $240 more than Sam at first)

After their mother gave James $30 and Sam $50, James had twice as much money as Sam:

J + 30 = 2(S + 50)

Now we can substitute the first equation into the second equation to solve for S:

(S + 240) + 30 = 2(S + 50)

S + 270 = 2S + 100

S = 170

Therefore, Sam had $170 at first.